Note 2023 is the last year that I will maintain this site--there is currently no plan to continue it after that.

cksieve

A titan, as defined by Samuel Yates, is anyone who has found a titanic prime. This page provides data on those that have found these primes. The data below only reflects on the primes currently on the list. (Many of the terms that are used here are explained on another page.)

Proof-code(s):	p392, p393, p403, p405, p424
E-mail address:	(e-mail address unpublished)
Web page:	http://www.mersenneforum.org/rogue/rogue.html
Username	cksieve	(entry created on 5/21/2016 10:20:24 CDT)
Database id:	4589	(entry last modified on 9/30/2021 09:35:19 CDT)
Program Does *:	sieve
Active primes:	on current list: 10, rank by number 25
Total primes:	number ever on any list: 21
Production score:	for current list 49 (normalized: 86), total 49.1871, rank by score 23
Largest prime:	(10⁸⁵⁹⁶⁶⁹ - 1)² - 2 ‏(‎1719338 digits) via code p405 on 5/25/2022 05:49:34 CDT
Most recent:	(146²⁷⁶⁹⁹⁵ + 1)² - 2 ‏(‎1199030 digits) via code p405 on 5/29/2022 09:20:28 CDT
Entrance Rank:	mean 1585.70 (minimum 245, maximum 2997)

Descriptive Data: (report abuse)

This program is a sieve for near square numbers of the form (b^n-1)^2-2 and (b^n+1)^2-2. Primes of this form are also known as Carol or Kynea primes.

Surname: Cksieve (used for alphabetizing and in codes).
Unverified primes are omitted from counts and lists until verification completed.

I administer cksieve and I would like to